b. Specify whether each function represents growth of decay. what happens to y? Y₁: Y2 Ya: c. Do all three curves intersect? If so, where? If they don't intersect, input NA in every field. (x, y) = ( ). d. In the first quadrant, which curve should be on top? Which in the middle? O Which on the bottom? O e. Find horizontal asymptote of all functions. y=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Questi 18
Each of the following three exponential functions is in the standard form y = C.a'.
3 = (0.5) 2", 3 = 2.2².9₁ = 5.2¹
a. In each case identify Cand a.
Y: C-
Y₁:
Ys: C=
b. Specify whether each function represents growth or decay. In particular, for each unit increase in x.
what happens to y?
Y2:
Ya
O
Which in the middle?
,0 =
c. Do all three curves intersect? If so, where? If they don't intersect, input NA in every field.
(x, y) = (
d. In the first quadrant, which curve should be on top?
Which on the bottom?
y=
10-
O
O
e. Find horizontal asymptote of all functions.
Transcribed Image Text:Questi 18 Each of the following three exponential functions is in the standard form y = C.a'. 3 = (0.5) 2", 3 = 2.2².9₁ = 5.2¹ a. In each case identify Cand a. Y: C- Y₁: Ys: C= b. Specify whether each function represents growth or decay. In particular, for each unit increase in x. what happens to y? Y2: Ya O Which in the middle? ,0 = c. Do all three curves intersect? If so, where? If they don't intersect, input NA in every field. (x, y) = ( d. In the first quadrant, which curve should be on top? Which on the bottom? y= 10- O O e. Find horizontal asymptote of all functions.
f. For each function, generate a small table of values.
Y2
X
0
1
2
Y₁
g. Graph the three functions on the same grid.
Y3
Transcribed Image Text:f. For each function, generate a small table of values. Y2 X 0 1 2 Y₁ g. Graph the three functions on the same grid. Y3
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